Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/145, 1852/6127 quickly i.e. 120380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/145, 1852/6127 is 120380.
LCM(65/145, 1852/6127) = 120380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/145,1852/6127
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 65,1852
Least Common Multiple of Numerators i.e. LCM of 65,1852 is 120380.
GCF of Denominators means GCF of 145,6127 as per the given fractions.
GCF of 145,6127 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,1852
Given numbers has no common factors except 1. So, there LCM is their product i.e 120380
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 65,1852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,1852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,1852) x common factors =1 x 1 = 1
LCM(65,1852) = ( 65 × 1852 ) / 1
LCM(65,1852) = 120380 / 1
LCM(65,1852) = 120380
Lets's calculate GCF of 145,6127
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120380/1
Therefore the LCM of Fractions 65/145,1852/6127 is 120380
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 6127
List of positive integer factors of 6127 that divides 6127 without a remainder.
1,11,557,6127
Greatest Common Factor
We found the factors 145,6127 . The biggest common factor number is the GCF number.
So the greatest common factor 145,6127 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 65/145, 1852/6127?
Answer: LCM of Numerators as per given numbers 65/145, 1852/6127 is
LCM of Numerators i.e. for 65,1852 is 120380
GCF of denominators i.e. for 145,6127 is 1.
Thus, LCM of Fractions is 120380.Finally, LCM of Fractions for 65/145, 1852/6127 is 120380.